Finding the Third Proportional to 111,780 and 169,113

Step by Step Solution

1. Step 1: Write the proportion equation
   111,780 : 169,113 = 169,113 : x
2. Step 2: Convert to fraction form
   111,780/169,113 = 169,113/x
3. Step 3: Cross multiply
   111,780x = 169,113 × 169,113
4. Step 4: Simplify right side
   111,780x = 28,599,206,769
5. Step 5: Solve for x
   x = 28,599,206,769/111,780
6. Step 6: Final answer
   x = 255,852.63